Performance evaluation of two Markovian retrial queueing model with balking and feedback

[1] G. Arfken, Confluent hypergeometric functions in mathematical methods for physicists, 3rd ed. Academic Press, Orlando, (1985), 753-758.Search in Google Scholar

[2] E. Altman, A. A. Borokovoc, On the stability of retrial queues, Queueing Syst., 26 (1997), 343-363.10.1023/A:1019193527040Search in Google Scholar

[3] K. Avrachenkov, A. Dudin, V. Klimenok, Queueing Model MMAP/M 2/1 with Two Orbits, Lecture Notes in Comput. Sci., 6235 (2010), 107-118.10.1007/978-3-642-15428-7_12Search in Google Scholar

[4] B. D. Choi, Y. C. Kim, The M/M/c Retrial queue with geometric loss and feedback, Comput. Math. Appl., 36 (6) (1998), 41-52.10.1016/S0898-1221(98)00160-6Search in Google Scholar

[5] N. Ebrahimi, System reliability based on system wear, Stoch. Models, 22 (1) (2006), 21-36.10.1080/15326340500481713Search in Google Scholar

[6] G. I. Falin, A survey of retrial queues, Queueing Syst., 7 (2) (1990), 127-167.10.1007/BF01158472Search in Google Scholar

[7] G. I. Falin, J. R. Artalejo, An infinite source retrial queue, European J. Oper. Res., 108 (2) (1998), 409.10.1016/S0377-2217(97)00170-7Search in Google Scholar

[8] N. Gharbi, M. Ioualalen, GSPN analysis of retrial systems with server breakdowns and repairs, Appl. Math. Comput., 174 (2) (2006), 1151-1168.10.1016/j.amc.2005.06.005Search in Google Scholar

[9] F. A. Haight, Queueing with balking, Biometrika, 44 (1957), 360-369.10.1093/biomet/44.3-4.360Search in Google Scholar

[10] R. Kumar, S. K. Sharma, M/M/1/N Queuing system with retention of reneged customers, Pakistan J. Statist. Oper. Res., 8 (2012), 859-866.10.18187/pjsor.v8i4.408Search in Google Scholar

[11] R. Kumar, S. K. Sharma, An M/M/1/N Queuing model with retention of reneged customers and Balking, Amer. J. Oper. Res., 2 (1) (2012), 1-5.Search in Google Scholar

[12] L. Libman, A. Orda, Optimal retrial and timeout strategies for accessing network resources, IEEE/ACM Trans. on Networking, 10 (4) (2002), 551-564.10.1109/TNET.2002.801412Search in Google Scholar

[13] A. Papoulis, Probability random variables and stochastic processes, 2nd ed., McGraw-Hill, (1983).Search in Google Scholar

[14] S. K. Sharma, A Markovian feedback queue with retention of reneged customers and balking, Adv. Model. Optim., 14 (3) (2012), 681-688.Search in Google Scholar

[15] J. Walrand, Communication networks: a first course, The Aksen Associates Series in Electrical and Computer Engineering, Richard D. Irwin, Inc., and Aksen Associates, Inc., Homewood, IL and Boston,MA.(1991). Search in Google Scholar